Maximal Accuracy and Minimal Disturbance in the Arthurs-Kelly Simultaneous Measurement Process

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dc.creatorAppleby, D. M.
dc.date1998-03-17
dc.date1998-09-17
dc.date.accessioned2026-07-07T10:55:04Z
dc.date.available2026-07-07T10:55:04Z
dc.descriptionThe accuracy of the Arthurs-Kelly model of a simultaneous measurement of position and momentum is analysed using concepts developed by Braginsky and Khalili in the context of measurements of a single quantum observable. A distinction is made between the errors of retrodiction and prediction. It is shown that the distribution of measured values coincides with the initial state Husimi function when the retrodictive accuracy is maximised, and that it is related to the final state anti-Husimi function (the P representation of quantum optics) when the predictive accuracy is maximised. The disturbance of the system by the measurement is also discussed. A class of minimally disturbing measurements is characterised. It is shown that the distribution of measured values then coincides with one of the smoothed Wigner functions described by Cartwright.
dc.description12 pages, 0 figures. AMS-Latex. Earlier version replaced with final published version
dc.identifierhttps://arxiv.org/abs/quant-ph/9803047
dc.identifierhttp://arxiv.org/abs/quant-ph/9803047
dc.identifierJ.Phys.A31:6419-6436,1998
dc.identifierdoi:10.1088/0305-4470/31/30/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185999
dc.subjectQuantum Physics
dc.titleMaximal Accuracy and Minimal Disturbance in the Arthurs-Kelly Simultaneous Measurement Process
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